Hesitant Fuzzy Prioritized Hybrid Average Operator and Its Application to Multiple Attribute Decision Making

Ruan, Chuan-Yang; Yang, Jian; Han, Lijin; Duan, Jing; Liu, Ruo-bing

doi:10.1007/978-3-319-30874-6_22

Cited by 2 publications

(1 citation statement)

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“…None of them contemplate the connection between the input data. As a result, a number of other forms of AOs have been created, such as heronian mean operators [42], Bonferroni mean operators [43], power operators [33], and maclaurin symmetric mean operators [44], which link the data input to some extent used in the aggregate step. We additionally suggest [45], [46], [47], [48], [49] for more reading on MCDM and AOs analysis.…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Hesitant Fuzzy Partitioned Maclaurin Symmetric Mean Aggregation Operators-Based Algorithm and Its Application in Decision Making

Azeem,

Ali,

Ali

et al. 2023

IEEE Access

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Intuitionistic hesitant fuzzy sets, which enable the representation of an element's membership and non-membership as a set of multiple possible values, offer significant utility in describing uncertainty in various aspects of people's daily lives. Fundamental mathematical techniques known as intuitionistic hesitant fuzzy aggregation operators are employed to merge multiple inputs into a single result based on predetermined criteria. However, conventional approaches that rely on classic intuitionistic hesitant fuzzy aggregation operators have faced criticism due to their limited understanding of criteria characterization. We introduce two novel operators, namely the intuitionistic hesitant fuzzy partitioned Maclaurin symmetric mean (IHFPMSM) and intuitionistic hesitant fuzzy weighted partitioned Maclaurin symmetric mean (IHFWPMSM), which draw inspiration from the partitioned Maclaurin symmetric mean concept. Subsequently, we thoroughly examine various characteristics and special cases of these operators. Building upon the IHFWPMSM operator, we propose a novel multiple-criteria decision-making (MCDM) method that effectively selects the most suitable alternative from a set of options. To demonstrate the effectiveness of our proposed approach, we discuss a systematic methodology for selecting the optimal location for shoe company construction. Lastly, we demonstrate the superior prevalence and effectiveness of the developed approach through comprehensive comparative and sensitivity analyses, surpassing the capabilities of existing approaches.INDEX TERMS Intuitionistic hesitant fuzzy set, Maclaurin symmetric mean, partitioned Maclaurin symmetric mean, multiple criteria decision-making.

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